This chapter explores the nonlinear dynamics of a bistable piezomagneto-elastic energy harvester with the objective of determining the influence of external force parameters on the system response. Time series, phase space trajectories, Poincaré maps and bifurcation diagrams are employed in order to reveal system dynamics complexity and nonlinear effects, such as chaos incidence and hysteresis.

Abstract. This work deals with the study of a piezoelectric energy harvesting device, aiming to identify parameters value that produce chaotic and non-chaotic behavior. Two different initial conditions sets are analysed. For each one, bifurcation diagrams where forcing amplitude and excitation frequency are varied, are computed and analysed, showing the existence of chaotic and regular regions.

Abstract. This work deals with the maximization of the mean power in a piezoelectric energy harvesting device. The voltages are acquired by applying different force amplitudes and initial positions for the system. These signals are treated in order to identify and separate chaotic from regular (non chaotic) results, through 0-1 test for chaos. An optimization problem is numerically solved in order to identify an optimal configuration of parameters.

This work deals with the dynamics of a nonlinear piezoelectric energy harvesting device, intending to map configuration of parameters able to provide chaotic and non-chaotic response behavior. The dynamics in explored changing forcing amplitude and excitation frequency. Bifurcation diagrams and basins of attraction are computed, and their analysis allow to identify regions of chaotic and regular dynamics.

Energy harvesting is a very promising technology to provide low levels of power for small autonomous systems, which the applicability encompass a very wide range of areas, that spans from micro/nano sensors in engineering to state of art implants in medicine. The present work deals with the analysis and detailed characterization of a nonlinear bi-stable piezo-magneto-elastic energy harvester driven by a periodic external excitation. The dynamical system is studied in depth through bifurcation diagrams and basins of attraction. The level of chaoticity of the dynamical system is accessed very efficiently via the 0-1 test for chaos, which allows mapping the presence of dense regions of chaos without the help of the Lyapunov exponents.

STONEHENGE is a toolbox designed to evaluate nonlinear vibration-based energy harvesting systems, which demand careful studies regarding their nontrivial behavior. It is composed of an ensemble of codes to study and characterize the dynamic behavior, as well as deal with varieties of physical parameters and excitation. For this, it has six modules, initial value problem, dynamic animation, nonlinear tools, sensitivity analysis, stochastic simulation, and chaos control. A bistable oscillator is used as a benchmark for a vibration harvester. We hope this toolbox can contribute to the development and improvement of old and new generations of nonlinear vibration-based energy harvesting systems.

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